Details

sample27.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify16.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

16.0ms

(/ 2 (+ (exp x) (exp (- x))))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`fma-def` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

Slowest

32.0ms	(/ 2 (+ (exp x) (exp (- x))))
19.0ms	(+ (exp x) (exp (- x)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

48.0ms	(+ (exp x) (exp (- x)))
39.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify1.5s

Counts

44 → 60

Calls

44 calls:

Slowest

161.0ms	(/ 2 (+ (exp (* -1 x)) (exp x)))
154.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
134.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
96.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
66.0ms	(+ (exp (* -1 x)) (exp x))

prune529.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(+ (exp x) (exp (- x)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`fma-def` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 108

Calls

4 calls:

Slowest

34.0ms	(/ 2 (+ (exp x) (exp (- x))))
32.0ms	(/ 2 (+ (exp x) (exp (- x))))
10.0ms	(+ (exp x) (exp (- x)))
10.0ms	(+ (exp x) (exp (- x)))

series160.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

47.0ms	(/ 2 (+ (exp x) (exp (- x))))
39.0ms	(/ 2 (+ (exp x) (exp (- x))))
37.0ms	(+ (exp x) (exp (- x)))
37.0ms	(+ (exp x) (exp (- x)))

simplify3.0s

Counts

88 → 120

Calls

88 calls:

Slowest

245.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
244.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
166.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
151.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
126.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))

prune1.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample626.0ms

Algorithm

intervals

Results

525.0ms

8000×

body

valid